Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.2" was replaced by "(12/10)". 2 more similar replacement(s)

Step  1  :

            6
 Simplify   —
            5

Equation at the end of step  1  :

   56             6
  (—— • (103)) -  —
   10             5

Step  2  :

 2.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  2  :

   56               6
  (—— • (23•53)) -  —
   10               5

Step  3  :

            28
 Simplify   ——
            5 

Equation at the end of step  3  :

   28               6
  (—— • (23•53)) -  —
   5                5

Step  4  :

Multiplying exponents :

 4.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Dividing exponents :

 4.2    5³   divided by   5¹   = 5^{(3 - 1)} = 5²

Equation at the end of step  4  :

          6
  5600 -  —
          5

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

             5600     5600 • 5
     5600 =  ————  =  ————————
              1          5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 5.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 5600 • 5 - (6)     27994
 ——————————————  =  —————
       5              5  

Final result :

  27994              
  ————— = 5598.80000 
    5